Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Ezhov, Vladimir"'
Publikováno v:
Izv. Math. 85 (2021), no. 3, 518-528
In this article we consider spherical hypersurfaces in $\mathbb C^2$ with a fixed Reeb vector field as 3-dimensional Sasakian manifolds. We establish the correspondence between three different sets of parameters, namely, those arising from representi
Externí odkaz:
http://arxiv.org/abs/2407.04421
We classify tube domains in $\mathbb C^{n+1}$ ($n\ge 1$) with affinely homogeneous base of their boundary and a.) with positive definite Levi form and b.) with Lorentzian type Levi form and affine isotropy of dimension at least $\frac{(n-2)(n-3)}2$.
Externí odkaz:
http://arxiv.org/abs/1804.02326
Publikováno v:
In Advances in Mathematics 15 April 2020 364
Autor:
Ezhov, Vladimir, Schmalz, Gerd
Publikováno v:
Complex Analysis and its Synergies 2015 1:2
We provide an explicit description of all rigid hypersurfaces that are equivalent to a Heisenberg sphere. These hypersurfaces are determined by 4 real parameters. The defining equations of the rigid spheres can also be viewed as the complete solution
Externí odkaz:
http://arxiv.org/abs/1305.4785
Autor:
Ezhov, Vladimir, Schmalz, Gerd
Publikováno v:
Arkiv f\"or Matematik, October 2007, Volume 45, Issue 2, pp 253-268
We classify the ODEs that correspond to elliptic CR-manifolds with maximal isotropy. It follows that the dimension of the isotropy group of an elliptic CR-manifold can be only 10 (for the quadric), 4 (for the listed examples) or less. This is in cont
Externí odkaz:
http://arxiv.org/abs/math/0509173
Publikováno v:
Russian Journal of Mathematical Physics June 2007, Volume 14, Issue 2, pp 121-133
We describe a complete system of invariants for 4-dimensional CR manifolds of CR dimension 1 and codimension 2 with Engel CR distribution by constructing an explicit canonical Cartan connection. We also investigate the relation between the Cartan con
Externí odkaz:
http://arxiv.org/abs/math/0508084
We classify the tube domains in C^4 with affinely homogeneous base whose boundary contains a non-degenerate affinely homogeneous hypersurface. It follows that these domains are holomorphically homogeneous and amongst them there are four new examples
Externí odkaz:
http://arxiv.org/abs/math/0408125
Autor:
Ezhov, Vladimir, Isaev, Alexander
We classify locally defined non-spherical real-analytic hypersurfaces in complex space whose Levi form has no more than one negative eigenvalue and for which the dimension of the group of local CR-automorphisms has the second largest value.
Externí odkaz:
http://arxiv.org/abs/math/0310033
Autor:
Eastwood, Michael, Ezhov, Vladimir
We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/math/0001134
Autor:
Eastwood, Michael, Ezhov, Vladimir
We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/math/0001115